# Numerical Ability

 Question 1

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was Re. 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and teh sum of cost and taxes paid in that year.

The ratio of the selling price in Year 2 to the selling price in Year 3 is _________.
 A 4:03 B 1:01 C 3:04 D 1:02
GATE CSE 2021 SET-2   General Aptitude
Question 1 Explanation:
 Question 2
The number of students in three classes is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21.

The total number of students in all the three classes in the beginning was:
 A 22 B 66 C 88 D 110
GATE CSE 2021 SET-2   General Aptitude
Question 2 Explanation:
 Question 3

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

 A A B B C C D D
GATE CSE 2021 SET-2   General Aptitude
Question 3 Explanation:
 Question 4
If $\left( x - \dfrac{1}{2} \right)^2 - \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is:
 A 2 B 4 C 6 D 8
GATE CSE 2021 SET-2   General Aptitude
Question 4 Explanation:
 Question 5
If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$
 A $\frac{1}{2}$ B $\frac{1}{\sqrt{3}}$ C $\frac{1}{\sqrt{2}}$ D $\frac{\sqrt{3}}{2}$
GATE CSE 2021 SET-2   General Aptitude
Question 5 Explanation:
 Question 6

A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________

 A A B B C C D D
GATE CSE 2021 SET-2   General Aptitude
Question 6 Explanation:
 Question 7
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit \%} & \textbf{Marked Price} \\ & (Rs.) & & (Rs.) \\ \hline P &5,400 &---&5,860\\ \hline Q&---&25&10,000\\ \hline \end{array}$

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost
$(\text{Profit} \%=\dfrac{\text{Selling price - Cost}}{\text{Cost}} \times 100)$
The discount on item Q, as a percentage of its marked price, is _______
 A 25 B 12.5 C 10 D 5
GATE CSE 2021 SET-1   General Aptitude
Question 7 Explanation:
 Question 8
We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is _________
 A $\frac{\pi}{2}$ B $\frac{3}{\pi}$ C $\frac{9}{\pi}$ D $3 \pi$
GATE CSE 2021 SET-1   General Aptitude
Question 8 Explanation:
 Question 9

A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.
 A A B B C C D D
GATE CSE 2021 SET-1   General Aptitude
Question 9 Explanation:
 Question 10
A polygon is convex if, for every pair of points, P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon.
Which one of the following is NOT a convex polygon?
 A A B B C C D D
GATE CSE 2021 SET-1   General Aptitude
Question 10 Explanation:

There are 10 questions to complete.